Question

3. The measure of angle of a triangle are ( x-10), (x-30), (x-50), find the measure of each angle.​

Answer 1

Answer:

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Answer 2

☆ɢɪᴠᴇɴ:

◕ ᴛʜᴇ ᴍᴇᴀsᴜʀᴇ ᴏғ ᴀɴɢʟᴇs ᴏғ ᴀ ᴛʀɪᴀɴɢʟᴇ ᴀʀᴇ (x-10), (x-30), (x-50).

☆ᴛᴏ ғɪɴᴅ:

◕ ᴛʜᴇ ᴍᴇᴀsᴜʀᴇ ᴏғ ᴀɴ ᴇᴀᴄʜ ᴀɴɢʟᴇ.

☆sᴏʟᴜᴛɪᴏɴ:

sɪɴᴄᴇ,

ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ,

sᴜᴍ ᴏғ ᴀʟʟ ᴀɴɢʟᴇs ᴏғ ᴀ ᴛʀɪᴀɴɢʟᴇ ɪs 180°.

: . (x-10) +(x-30) +(x-50) =180°

: . x-10+x-30+x-50= 180°

: . 3x-90= 180°

: . 3x= 180+90

: . 3x=270

: . x= 270/3

: . x= 90

ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ x ɪs °.

ᴛʜᴇʀᴇғᴏʀᴇ,

◆ᴛʜᴇ ғɪʀsᴛ ᴀɴɢʟᴇ= (x-10) =(90-10) =80°

◆ᴛʜᴇ sᴇᴄᴏɴᴅ ᴀɴɢʟᴇ=(x-30) =(90-30) =60°

◆ᴛʜᴇ ᴛʜɪʀᴅ ᴀɴɢʟᴇ=(x-50) =(90-50) =40°

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